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268329 = 389443
BaseRepresentation
bin1000001100000101001
3111122002010
41001200221
532041304
65430133
72165205
oct1014051
9448063
10268329
11173666
1210b349
1395199
146db05
1554789
hex41829

268329 has 4 divisors (see below), whose sum is σ = 357776. Its totient is φ = 178884.

The previous prime is 268297. The next prime is 268343. The reversal of 268329 is 923862.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 268329 - 25 = 268297 is a prime.

It is a D-number.

It is a Duffinian number.

268329 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 268296 and 268305.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 268329.

It is not an unprimeable number, because it can be changed into a prime (268529) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44719 + ... + 44724.

It is an arithmetic number, because the mean of its divisors is an integer number (89444).

268329 is a Friedman number, since it can be written as 8-3+(6+2^9)^2, using all its digits and the basic arithmetic operations.

2268329 is an apocalyptic number.

It is an amenable number.

268329 is a deficient number, since it is larger than the sum of its proper divisors (89447).

268329 is an equidigital number, since it uses as much as digits as its factorization.

268329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89446.

The product of its digits is 5184, while the sum is 30.

The square root of 268329 is about 518.0048262323. The cubic root of 268329 is about 64.4994291158.

The spelling of 268329 in words is "two hundred sixty-eight thousand, three hundred twenty-nine".

Divisors: 1 3 89443 268329